An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built connecting the island to the mainland. The switching plant for the cable company is located 10 miles along the coast from a point directly opposite the island. It has been determined that it will cost $20,000 per mile to place the cable in the ocean and $15,000 per mile to place the cable along the shoreline. Where should the underwater cable meet the shoreline in order to minimize the construction cost? After waiting for the completion of the design phase and the acceptance of bids, it was found that the costs have changed to $26,000 per mile for the underwater cable and $25,000 per mile for the shoreline cable. Should the place where the cable meets the shoreline be adjusted? Explain why your answer did or did not change.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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. An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built
connecting the island to the mainland. The switching plant for the cable company
located 10 miles along the coast from a point directly opposite the island. It has been
determined that it will cost $20,000 per mile to place the cable in the ocean and $15,000
per mile to place the cable along the shoreline. Where should the underwater cable meet
the shoreline in order to minimize the construction cost?
. After waiting for the completion of the design phase and the acceptance of bids, it was
found that the costs have changed to $26,000 per mile for the underwater cable and
$25,000 per mile for the shoreline cable. Should the place where the cable meets the
shoreline be adjusted? Explain why your answer did or did not change.
Transcribed Image Text:. An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built connecting the island to the mainland. The switching plant for the cable company located 10 miles along the coast from a point directly opposite the island. It has been determined that it will cost $20,000 per mile to place the cable in the ocean and $15,000 per mile to place the cable along the shoreline. Where should the underwater cable meet the shoreline in order to minimize the construction cost? . After waiting for the completion of the design phase and the acceptance of bids, it was found that the costs have changed to $26,000 per mile for the underwater cable and $25,000 per mile for the shoreline cable. Should the place where the cable meets the shoreline be adjusted? Explain why your answer did or did not change.
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